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Finding the Fourth Proportional to 57,805.34, 79,769.69 and 32,311.76

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Solution

The fourth proportional to 57,805.34, 79,769.69 and 32,311.76 is: 44,589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,805.34 : 79,769.69 = 32,311.76 : x
  2. Step 2: Convert to fraction form
    57,805.34/79,769.69 = 32,311.76/x
  3. Step 3: Cross multiply
    57,805.34x = 79,769.69 × 32,311.76
  4. Step 4: Simplify right side
    57,805.34x = 2,577,498,679.71
  5. Step 5: Solve for x
    x = 2,577,498,679.71/57,805.34
  6. Step 6: Final answer
    x = 44,589.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.